40744566720 has 1344 divisors, whose sum is σ = 178935644160. Its totient is φ = 8360755200.

The previous prime is 40744566713. The next prime is 40744566773. The reversal of 40744566720 is 2766544704.

40744566720 is a `hidden beast` number, since 40 + 7 + 44 + 566 + 7 + 2 + 0 = 666.

40744566720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320823297 + ... + 320823423.

It is an arithmetic number, because the mean of its divisors is an integer number (133136640).

Almost surely, 2^40744566720 is an apocalyptic number.

40744566720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89467822080).

40744566720 is an abundant number, since it is smaller than the sum of its proper divisors (138191077440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40744566720 is a wasteful number, since it uses less digits than its factorization.

40744566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 40744566720 in words is "forty billion, seven hundred forty-four million, five hundred sixty-six thousand, seven hundred twenty".